Paper
A covariant approach to braneworld holography
Published Dec 7, 2005 · Antonio Padilla
Classical and Quantum Gravity
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Abstract
Exact holography for cosmological branes in an AdS–Schwarzschild bulk was first introduced in Gregory J P and Padilla A (2002 Exact braneworld cosmology induced from bulk black holes Class. Quantum Grav. 19 4071–83 (Preprint hep-th/0204218)). We extend this notion to include all co-dimension one branes moving in non-trivial bulk spacetimes. We use a covariant approach, and show that the bulk Weyl tensor projected on to the brane can always be traded in for ‘holographic’ energy–momentum on the brane. More precisely, a brane moving in a non-maximally symmetric bulk has exactly the same geometry as a brane moving in a maximally symmetric bulk, so long as we include the holographic fields on the brane. This correspondence is exact in that it works to all orders in the brane energy–momentum tensor.
A brane moving in a non-maximally symmetric bulk has the same geometry as a brane moving in a maximally symmetric bulk, provided we include the holographic fields on the brane.
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